Finite Group Databasebeta

← C17×#22090 #16879834

Subgroups — C17×#22090 #16879834

Order 4352.

836 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C17×#482C211yesmaximal, characteristic
2C17×#2324C211yesmaximal, characteristic
3C17×#2317C211yesmaximal, characteristic, complemented
4C17×#1943C211yesmaximal, characteristic, complemented
5C17×#1941C211yesmaximal, characteristic, complemented
6C17×#1936C211yesmaximal, characteristic, complemented
7C17×#1934C211yesmaximal, characteristic, complemented
8C17×#1919C211yesmaximal, characteristic, complemented
9C17×#1918C211yesmaximal, characteristic, complemented
10C17×#1874C211yesmaximal, characteristic
11C17×#1864C211yesmaximal, characteristic, complemented
12C17×#1864C211yesmaximal, characteristic, complemented
13C17×#1853C211yesmaximal, characteristic, complemented
14C17×#1825C211yesmaximal, characteristic, complemented
15C17×#1750C211yesmaximal, characteristic, complemented
16C2×C17×#121C2211yescharacteristic
17C2×C4×D4×C17C2211yescharacteristic
18C2×C17×#117C2211yescharacteristic
19C2×C17×#117C2211yescharacteristic
20C22×C4⋊C4×C17C2211yescharacteristic
21C17×#482C418yescomplemented
22C2×C17×#107C2211yescharacteristic
23C2×C17×#106C2211yescharacteristic
24C2×C17×#106C2211yescharacteristic
25C2×C17×#106C2211yescharacteristic
26C2×C17×#102C2211yescharacteristic
27C2×C17×#102C2211yescharacteristic
28C2×C17×#102C2211yescharacteristic
29C2×C17×#102C2211yescharacteristic
30C2×C17×C22⋊C8C2211yescharacteristic
31C2×C17×C22⋊C8C2211yescharacteristic
32C2×C17×#97C2211yescharacteristic
33C2×C4×C8×C17C2211yescharacteristic
34C17×#390—21no—
35C17×#390C2211yescharacteristic
36C17×#389C2211yescharacteristic
37C17×#389C2211yescharacteristic
38C17×#389C2211yescharacteristic
39C17×#389C2211yescharacteristic
40C17×#389C2211yescharacteristic
41C17×#388—21no—
42C17×#386—21no—
43C17×#385—21no—
44C17×#385—21no—
45C17×#385—21no—
46C17×#384—21no—
47C17×#382—21no—
48C17×#380C2211yescharacteristic
49C4×C4⋊C4×C17C2211yescharacteristic
50C17×#340C2211yescharacteristic
51C17×#340C2211yescharacteristic
52C17×#340C2211yescharacteristic
53C17×#340C2211yescharacteristic
54C17×#340C2211yescharacteristic
55C17×#340C2211yescharacteristic
56C17×#340C2211yescharacteristic
57C17×#340C2211yescharacteristic
58C17×#336C2211yescharacteristic
59C17×#336C2211yescharacteristic
60C22×D4×C17—21no—
61C22×D4×C17C2311yescharacteristic
62C23×C4×C17—21no—
63C23×C4×C17—21no—
64C23×C4×C17C2311yescharacteristic
65C22×C8×C17C2311yescharacteristic
66C22×C8×C17C2311yescharacteristic
67C22×C8×C17C2311yescharacteristic
68C22×C8×C17C2311yescharacteristic
69C17×#121—22no—
70C17×#121C2×C414yes—
71C4×D4×C17—41no—
72C4×D4×C17—41no—
73C17×#117—22no—
74C17×#117—41no—
75C17×#117—41no—
76C17×#117C2×C414yescomplemented
77C2×C4⋊C4×C17—21no—
78C2×C4⋊C4×C17—21no—
79C2×C4⋊C4×C17—21no—
80C2×C4⋊C4×C17—21no—
81C2×C4⋊C4×C17—21no—
82C2×C4⋊C4×C17—21no—
83C2×C4⋊C4×C17—41no—
84C2×C4⋊C4×C17—41no—
85C2×C4⋊C4×C17D411yescharacteristic
86C2×C4⋊C4×C17D411yescharacteristic
87C2×C4⋊C4×C17C2311yescharacteristic
88C2×C4⋊C4×C17C2311yescharacteristic
89C2×C4⋊C4×C17C2311yescharacteristic
90C2×C4⋊C4×C17C2311yescharacteristic
91C2×C4⋊C4×C17C2311yescharacteristic
92C2×C4⋊C4×C17C2311yescharacteristic
93C2×C4⋊C4×C17C2311yescharacteristic
94C2×C22⋊C4×C17—21no—
95C2×C22⋊C4×C17—21no—
96C2×C22⋊C4×C17—21no—
97C2×C22⋊C4×C17—21no—
98C2×C22⋊C4×C17—21no—
99C2×C22⋊C4×C17—21no—
100C2×C22⋊C4×C17D411yescharacteristic
101C2×C22⋊C4×C17D411yescharacteristic
102C2×C42×C17—21no—
103C2×C42×C17—21no—
104C2×C42×C17C2311yescharacteristic
105C2×C42×C17C2311yescharacteristic
106C17×#107C2×C414yescomplemented
107C17×#106—41no—
108C17×#106—41no—
109C17×#106C2×C414yescomplemented
110C17×#102—41no—
111C17×#102—41no—
112C17×#102C2×C414yescomplemented
113C17×#102C2×C414yescomplemented
114C17×C22⋊C8—22no—
115C17×C22⋊C8C2×C414yescomplemented
116C17×#97—41no—
117C4×C8×C17—41no—
118C17×#95—21no—
119C17×#95—21no—
120C17×#95—21no—
121C17×#95—21no—
122C17×#95—21no—
123C17×#95—21no—
124C17×#95—21no—
125C24×C17—21no—
126C24×C17C2×D411yescharacteristic
127C2×D4×C17—24no—
128C2×D4×C17—21no—
129C2×D4×C17—21no—
130C2×D4×C17—21no—
131C2×D4×C17—21no—
132C2×D4×C17—21no—
133C2×D4×C17—81no—
134C2×D4×C17—81no—
135C2×D4×C17C22×C412yes—
136C22×C4×C17—21no—
137C22×C4×C17—21no—
138C22×C4×C17—21no—
139C22×C4×C17—21no—
140C22×C4×C17—21no—
141C22×C4×C17—21no—
142C22×C4×C17—21no—
143C22×C4×C17—21no—
144C22×C4×C17—21no—
145C22×C4×C17—21no—
146C22×C4×C17—21no—
147C22×C4×C17—42no—
148C22×C4×C17—42no—
149C22×C4×C17—81no—
150C22×C4×C17—81no—
151C22×C4×C17—81no—
152C22×C4×C17—81no—
153C22×C4×C17C22×C412yes—
154C22×C4×C17C2×D411yescharacteristic
155C22×C4×C17C2×D411yescharacteristic
156C22×C4×C17C2×D411yescharacteristic
157C22×C4×C17C2×D411yescharacteristic
158C22×C4×C17C2×D411yescharacteristic
159C22×C4×C17#4112yes—
160C22×C4×C17C2411yescharacteristic
161C2×C8×C17—21no—
162C2×C8×C17—21no—
163C2×C8×C17—21no—
164C2×C8×C17—21no—
165C2×C8×C17—21no—
166C2×C8×C17—21no—
167C2×C8×C17—21no—
168C2×C8×C17—21no—
169C2×C8×C17—21no—
170C2×C8×C17—21no—
171C2×C8×C17C22×C412yes—
172C2×C8×C17C22×C412yes—
173C4⋊C4×C17—21no—
174C4⋊C4×C17—21no—
175C4⋊C4×C17—21no—
176C4⋊C4×C17—21no—
177C4⋊C4×C17—21no—
178C4⋊C4×C17—21no—
179C4⋊C4×C17—21no—
180C4⋊C4×C17—21no—
181C4⋊C4×C17—21no—
182C4⋊C4×C17—21no—
183C4⋊C4×C17—21no—
184C4⋊C4×C17—41no—
185C4⋊C4×C17—41no—
186C4⋊C4×C17—42no—
187C4⋊C4×C17—81no—
188C4⋊C4×C17—81no—
189C4⋊C4×C17—81no—
190C4⋊C4×C17—81no—
191C4⋊C4×C17—81no—
192C4⋊C4×C17C22×C412yes—
193C4⋊C4×C17C22×C412yes—
194C4⋊C4×C17C22×C412yes—
195C22⋊C4×C17—24no—
196C22⋊C4×C17—24no—
197C22⋊C4×C17—41no—
198C22⋊C4×C17—41no—
199C22⋊C4×C17—42no—
200C22⋊C4×C17—81no—
201C22⋊C4×C17—81no—
202C22⋊C4×C17—81no—
203C42×C17—24no—
204C42×C17—21no—
205C42×C17—21no—
206C42×C17—21no—
207C42×C17—21no—
208C42×C17—81no—
209#22090C1711yesmaximal, characteristic, direct product factor, Sylow
210C23×C17—21no—
211C23×C17—21no—
212C23×C17—21no—
213C23×C17—21no—
214C23×C17—21no—
215C23×C17—21no—
216C23×C17—22no—
217C23×C17—41no—
218C23×C17—41no—
219C23×C17—41no—
220C23×C17—41no—
221C23×C17—41no—
222C23×C17—41no—
223C23×C17C4×D412yes—
224C23×C17C22×D411yescharacteristic
225D4×C17—22no—
226D4×C17—22no—
227D4×C17—41no—
228D4×C17—41no—
229D4×C17—84no—
230C2×C4×C17—21no—
231C2×C4×C17—21no—
232C2×C4×C17—22no—
233C2×C4×C17—22no—
234C2×C4×C17—22no—
235C2×C4×C17—22no—
236C2×C4×C17—22no—
237C2×C4×C17—22no—
238C2×C4×C17—22no—
239C2×C4×C17—21no—
240C2×C4×C17—21no—
241C2×C4×C17—21no—
242C2×C4×C17—21no—
243C2×C4×C17—21no—
244C2×C4×C17—21no—
245C2×C4×C17—21no—
246C2×C4×C17—21no—
247C2×C4×C17—21no—
248C2×C4×C17—21no—
249C2×C4×C17—21no—
250C2×C4×C17—21no—
251C2×C4×C17—41no—
252C2×C4×C17—41no—
253C2×C4×C17—41no—
254C2×C4×C17—41no—
255C2×C4×C17—41no—
256C2×C4×C17—41no—
257C2×C4×C17—41no—
258C2×C4×C17—41no—
259C2×C4×C17—41no—
260C2×C4×C17—41no—
261C2×C4×C17—41no—
262C2×C4×C17—41no—
263C2×C4×C17—41no—
264C2×C4×C17—41no—
265C2×C4×C17—41no—
266C2×C4×C17—41no—
267C2×C4×C17—41no—
268C2×C4×C17—41no—
269C2×C4×C17—84no—
270C2×C4×C17—84no—
271C2×C4×C17C4×D412yes—
272C2×C4×C17C23×C411yescharacteristic
273C2×C4×C17C2×#4111yescharacteristic
274C2×C4×C17H(5,𝔽2)11yescharacteristic
275C2×C4×C17H(5,𝔽2)11yescharacteristic
276C2×C4×C172−1+411yescharacteristic
277C2×C4×C172−1+411yescharacteristic
278C8×C17—22no—
279C8×C17—22no—
280C8×C17—41no—
281C8×C17—41no—
282C2×#482C2×C1711yescharacteristic
283#2324C2×C1711yescharacteristic
284#2317C2×C1711yescharacteristic, complemented
285#1943C2×C1711yescharacteristic, complemented
286#1941C2×C1711yescharacteristic, complemented
287#1936C2×C1711yescharacteristic, complemented
288#1934C2×C1711yescharacteristic, complemented
289#1919C2×C1711yescharacteristic, complemented
290#1918C2×C1711yescharacteristic, complemented
291#1874C2×C1711yescharacteristic
292#1864C2×C1711yescharacteristic, complemented
293#1864C2×C1711yescharacteristic, complemented
294#1853C2×C1711yescharacteristic, complemented
295#1825C2×C1711yescharacteristic, complemented
296#1750C2×C1711yescharacteristic, complemented
297C22×C17—22no—
298C22×C17—22no—
299C22×C17—22no—
300C22×C17—41no—
301C22×C17—41no—
302C22×C17—41no—
303C22×C17—41no—
304C22×C17—42no—
305C22×C17—42no—
306C22×C17—42no—
307C22×C17—81no—
308C22×C17—81no—
309C22×C17—81no—
310C22×C17—81no—
311C22×C17C2×C4×D411yescharacteristic
312C22×C17#53411yescharacteristic
313C22×C17#53611yescharacteristic
314C22×C17#57611yescharacteristic
315C22×C17#57711yescharacteristic
316C22×C17#57711yescharacteristic
317C22×C17#57711yescharacteristic
318C4×C17—22no—
319C4×C17—41no—
320C4×C17—41no—
321C4×C17—41no—
322C4×C17—41no—
323C4×C17—42no—
324C4×C17—42no—
325C4×C17—42no—
326C4×C17—81no—
327C4×C17—81no—
328C4×C17—81no—
329C4×C17—81no—
330C4×C17#52011yescharacteristic
331C4×C17#52011yescharacteristic
332C4×C17#53911yescharacteristic
333C4×C17#53911yescharacteristic
334C2×#121C22×C1711yescharacteristic
335C2×C4×D4C22×C1711yescharacteristic
336C2×#117C22×C1711yescharacteristic
337C2×#117C22×C1711yescharacteristic
338C22×C4⋊C4C22×C1711yescharacteristic
339#482C4×C1718yescomplemented
340C2×#107C22×C1711yescharacteristic
341C2×#106C22×C1711yescharacteristic
342C2×#106C22×C1711yescharacteristic
343C2×#106C22×C1711yescharacteristic
344C2×#102C22×C1711yescharacteristic
345C2×#102C22×C1711yescharacteristic
346C2×#102C22×C1711yescharacteristic
347C2×#102C22×C1711yescharacteristic
348C2×C22⋊C8C22×C1711yescharacteristic
349C2×C22⋊C8C22×C1711yescharacteristic
350C2×#97C22×C1711yescharacteristic
351C2×C4×C8C22×C1711yescharacteristic
352#390—21no—
353#390C22×C1711yescharacteristic
354#389C22×C1711yescharacteristic
355#389C22×C1711yescharacteristic
356#389C22×C1711yescharacteristic
357#389C22×C1711yescharacteristic
358#389C22×C1711yescharacteristic
359#388—21no—
360#386—21no—
361#385—21no—
362#385—21no—
363#385—21no—
364#384—21no—
365#382—21no—
366#380C22×C1711yescharacteristic
367C4×C4⋊C4C22×C1711yescharacteristic
368#340C22×C1711yescharacteristic
369#340C22×C1711yescharacteristic
370#340C22×C1711yescharacteristic
371#340C22×C1711yescharacteristic
372#340C22×C1711yescharacteristic
373#340C22×C1711yescharacteristic
374#340C22×C1711yescharacteristic
375#340C22×C1711yescharacteristic
376#336C22×C1711yescharacteristic
377#336C22×C1711yescharacteristic
378C2×C17—42no—
379C2×C17—82no—
380C2×C17#232211yescharacteristic
381C2×C17#294611yescharacteristic
382C2×C17#295211yescharacteristic
383C2×C17#319811yescharacteristic
384C2×C17#320011yescharacteristic
385C2×C17#324111yescharacteristic
386C2×C17#324411yescharacteristic
387C22×D4—21no—
388C22×D4C23×C1711yescharacteristic
389C23×C4—21no—
390C23×C4—21no—
391C23×C4C23×C1711yescharacteristic
392C22×C8C23×C1711yescharacteristic
393C22×C8C23×C1711yescharacteristic
394C22×C8C23×C1711yescharacteristic
395C22×C8C23×C1711yescharacteristic
396#121—22no—
397#121C2×C4×C1714yes—
398C4×D4—41no—
399C4×D4—41no—
400#117—22no—
401#117—41no—
402#117—41no—
403#117C2×C4×C1714yescomplemented
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—41no—
411C2×C4⋊C4—41no—
412C2×C4⋊C4D4×C1711yescharacteristic
413C2×C4⋊C4D4×C1711yescharacteristic
414C2×C4⋊C4C23×C1711yescharacteristic
415C2×C4⋊C4C23×C1711yescharacteristic
416C2×C4⋊C4C23×C1711yescharacteristic
417C2×C4⋊C4C23×C1711yescharacteristic
418C2×C4⋊C4C23×C1711yescharacteristic
419C2×C4⋊C4C23×C1711yescharacteristic
420C2×C4⋊C4C23×C1711yescharacteristic
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4D4×C1711yescharacteristic
428C2×C22⋊C4D4×C1711yescharacteristic
429C2×C42—21no—
430C2×C42—21no—
431C2×C42C23×C1711yescharacteristic
432C2×C42C23×C1711yescharacteristic
433#107C2×C4×C1714yescomplemented
434#106—41no—
435#106—41no—
436#106C2×C4×C1714yescomplemented
437#102—41no—
438#102—41no—
439#102C2×C4×C1714yescomplemented
440#102C2×C4×C1714yescomplemented
441C22⋊C8—22no—
442C22⋊C8C2×C4×C1714yescomplemented
443#97—41no—
444C4×C8—41no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452C17#2209011yescharacteristic, direct product factor, Sylow
453C24—21no—
454C24C2×D4×C1711yescharacteristic
455C2×D4—24no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—81no—
462C2×D4—81no—
463C2×D4C22×C4×C1712yes—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—81no—
480C22×C4—81no—
481C22×C4C22×C4×C1712yes—
482C22×C4C2×D4×C1711yescharacteristic
483C22×C4C2×D4×C1711yescharacteristic
484C22×C4C2×D4×C1711yescharacteristic
485C22×C4C2×D4×C1711yescharacteristic
486C22×C4C2×D4×C1711yescharacteristic
487C22×C4#41×C1712yes—
488C22×C4C24×C1711yescharacteristic
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—21no—
496C2×C8—21no—
497C2×C8—21no—
498C2×C8—21no—
499C2×C8C22×C4×C1712yes—
500C2×C8C22×C4×C1712yes—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—21no—
511C4⋊C4—21no—
512C4⋊C4—41no—
513C4⋊C4—41no—
514C4⋊C4—42no—
515C4⋊C4—81no—
516C4⋊C4—81no—
517C4⋊C4—81no—
518C4⋊C4—81no—
519C4⋊C4—81no—
520C4⋊C4C22×C4×C1712yes—
521C4⋊C4C22×C4×C1712yes—
522C4⋊C4C22×C4×C1712yes—
523C22⋊C4—24no—
524C22⋊C4—24no—
525C22⋊C4—41no—
526C22⋊C4—41no—
527C22⋊C4—42no—
528C22⋊C4—81no—
529C22⋊C4—81no—
530C22⋊C4—81no—
531C42—21no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—24no—
536C42—81no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—21no—
541C23—21no—
542C23—21no—
543C23—22no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23—41no—
548C23—41no—
549C23—41no—
550C23C4×D4×C1712yes—
551C23C22×D4×C1711yescharacteristic
552D4—22no—
553D4—22no—
554D4—41no—
555D4—41no—
556D4—84no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—84no—
597C2×C4—84no—
598C2×C4C4×D4×C1712yes—
599C2×C4C23×C4×C1711yescharacteristic
600C2×C4C2×#41×C1711yescharacteristic
601C2×C4C17×H(5,𝔽2)11yescharacteristic
602C2×C4C17×H(5,𝔽2)11yescharacteristic
603C2×C4C17×2−1+411yescharacteristic
604C2×C4C17×2−1+411yescharacteristic
605C8—22no—
606C8—22no—
607C8—41no—
608C8—41no—
609C22—22no—
610C22—22no—
611C22—22no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—42no—
617C22—42no—
618C22—42no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22C2×C4×D4×C1711yescharacteristic
624C22C17×#53411yescharacteristic
625C22C17×#53611yescharacteristic
626C22C17×#57611yescharacteristic
627C22C17×#57711yescharacteristic
628C22C17×#57711yescharacteristic
629C22C17×#57711yescharacteristic
630C4—22no—
631C4—42no—
632C4—42no—
633C4—42no—
634C4—41no—
635C4—41no—
636C4—41no—
637C4—41no—
638C4—81no—
639C4—81no—
640C4—81no—
641C4—81no—
642C4C17×#52011yescharacteristic
643C4C17×#52011yescharacteristic
644C4C17×#53911yescharacteristic
645C4C17×#53911yescharacteristic
646C2—42no—
647C2—82no—
648C2C17×#232211yescharacteristic
649C2C17×#294611yescharacteristic
650C2C17×#295211yescharacteristic
651C2C17×#319811yescharacteristic
652C2C17×#320011yescharacteristic
653C2C17×#324111yescharacteristic
654C2C17×#324411yescharacteristic
subgroupG/H
center, socleC23×C17C22×D4
commutatorC2×C4C23×C4×C17
Frattini, cosocleC22×C4C24×C17
prime radicalC2×C17×#121C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C17 ◁ C2×C17×#117 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. C17×#2317C2semidirect
4. C17×#1943C2semidirect
5. C17×#1941C2semidirect
6. C17×#1936C2semidirect
7. C17×#1934C2semidirect
8. C17×#1919C2semidirect
9. C17×#1918C2semidirect
11. C17×#1864C2semidirect
12. C17×#1864C2semidirect
13. C17×#1853C2semidirect
14. C17×#1825C2semidirect
15. C17×#1750C2semidirect
21. C17×#482C4semidirect
76. C17×#117C2×C4semidirect
106. C17×#107C2×C4semidirect
109. C17×#106C2×C4semidirect
112. C17×#102C2×C4semidirect
113. C17×#102C2×C4semidirect
115. C17×C22⋊C8C2×C4semidirect
209. #22090C17direct (N × H)
284. #2317C2×C17semidirect
285. #1943C2×C17semidirect
286. #1941C2×C17semidirect
287. #1936C2×C17semidirect
288. #1934C2×C17semidirect
289. #1919C2×C17semidirect
290. #1918C2×C17semidirect
292. #1864C2×C17semidirect
293. #1864C2×C17semidirect
294. #1853C2×C17semidirect
295. #1825C2×C17semidirect
296. #1750C2×C17semidirect
339. #482C4×C17semidirect
403. #117C2×C4×C17semidirect
433. #107C2×C4×C17semidirect
436. #106C2×C4×C17semidirect
439. #102C2×C4×C17semidirect
440. #102C2×C4×C17semidirect
442. C22⋊C8C2×C4×C17semidirect
452. C17#22090direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C17×#4822
C17×#23242
C17×#23172
C17×#19432
C17×#19412
C17×#19362
C17×#19342
C17×#19192
C17×#19182
C17×#18742
C17×#18642
C17×#18532
C17×#18252
C17×#17502
#2209017